(* Content-type: application/vnd.wolfram.mathematica *)

(*** Wolfram Notebook File ***)
(* http://www.wolfram.com/nb *)

(* CreatedBy='Mathematica 10.4' *)

(*CacheID: 234*)
(* Internal cache information:
NotebookFileLineBreakTest
NotebookFileLineBreakTest
NotebookDataPosition[       158,          7]
NotebookDataLength[     12373,        387]
NotebookOptionsPosition[      9059,        293]
NotebookOutlinePosition[     11541,        356]
CellTagsIndexPosition[     11456,        351]
WindowTitle->CartesianPropagatorDenominator
WindowFrame->Normal*)

(* Beginning of Notebook Content *)
Notebook[{
Cell[BoxData[GridBox[{
   {Cell["FEYN CALC SYMBOL", "PacletNameCell"], Cell[TextData[{
     Cell[BoxData[
      ActionMenuBox[
       FrameBox[
        InterpretationBox[Cell[TextData[{
          "See Also",
          StyleBox[" \[FilledDownTriangle]", "AnchorBarArrow",
           StripOnInput->False]
         }]],
         TextCell[
          Row[{"See Also", 
            Style[" \[FilledDownTriangle]", "AnchorBarArrow"]}]]],
        StripOnInput->False], {"\<\"CFAD\"\>":>Documentation`HelpLookup[
       "paclet:FeynCalc/ref/CFAD"], "\<\"FeynAmpDenominator\"\>":>
       Documentation`HelpLookup["paclet:FeynCalc/ref/FeynAmpDenominator"]},
       Appearance->None,
       MenuAppearance->Automatic,
       MenuStyle->"SeeAlso"]],
      LineSpacing->{1.4, 0}],
     "\[ThickSpace]\[ThickSpace]\[ThickSpace]\[ThickSpace]\[ThickSpace]\
\[ThickSpace]",
     Cell[BoxData[
      ActionMenuBox[
       FrameBox[
        InterpretationBox[Cell[TextData[{
          "URL",
          StyleBox[" \[FilledDownTriangle]", "AnchorBarArrow",
           StripOnInput->False]
         }]],
         TextCell[
          Row[{"URL", 
            Style[" \[FilledDownTriangle]", "AnchorBarArrow"]}]]],
        StripOnInput->
         False], {"\<\"FeynCalc/ref/CartesianPropagatorDenominator\"\>":>
       None, "\<\"Copy Wolfram Documentation Center URL\"\>":>
       Module[{DocumentationSearch`Private`nb$}, 
        DocumentationSearch`Private`nb$ = NotebookPut[
           Notebook[{
             Cell["FeynCalc/ref/CartesianPropagatorDenominator"]}, Visible -> 
            False]]; SelectionMove[
         DocumentationSearch`Private`nb$, All, Notebook]; 
        FrontEndTokenExecute[DocumentationSearch`Private`nb$, "Copy"]; 
        NotebookClose[DocumentationSearch`Private`nb$]; Null], 
       Delimiter, "\<\"Copy web URL\"\>":>
       Module[{DocumentationSearch`Private`nb$}, 
        DocumentationSearch`Private`nb$ = NotebookPut[
           Notebook[{
             Cell[
              BoxData[
               MakeBoxes[
                Hyperlink[
                "http://reference.wolfram.com/language/FeynCalc/ref/\
CartesianPropagatorDenominator.html"], StandardForm]], "Input", 
              TextClipboardType -> "PlainText"]}, Visible -> False]]; 
        SelectionMove[DocumentationSearch`Private`nb$, All, Notebook]; 
        FrontEndTokenExecute[DocumentationSearch`Private`nb$, "Copy"]; 
        NotebookClose[DocumentationSearch`Private`nb$]; 
        Null], "\<\"Go to web URL\"\>":>FrontEndExecute[{
         NotebookLocate[{
           URL[
            StringJoin[
             If[
              TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$33583], 
              "http://reference.wolfram.com/system-modeler/", 
              "http://reference.wolfram.com/language/"], 
             "FeynCalc/ref/CartesianPropagatorDenominator", ".html"]], 
           None}]}]},
       Appearance->None,
       MenuAppearance->Automatic,
       MenuStyle->"URLMenu"]],
      LineSpacing->{1.4, 0}]
    }], "AnchorBar"]}
  }]], "AnchorBarGrid",
 GridBoxOptions->{GridBoxItemSize->{"Columns" -> {
     Scaled[0.65], {
      Scaled[0.34]}}, "ColumnsIndexed" -> {}, "Rows" -> {{1.}}, 
   "RowsIndexed" -> {}}},
 CellID->1],

Cell[TextData[{
 Cell["CartesianPropagatorDenominator", "ObjectName"],
 Cell[BoxData[
  InterpretationBox[
   StyleBox[
    GraphicsBox[{},
     BaselinePosition->Baseline,
     ImageSize->{8, 0}],
    CacheGraphics->False],
   Spacer[8]]]],
 Cell[BoxData[""], "ObjectNameTranslation"]
}], "ObjectNameGrid"],

Cell[BoxData[GridBox[{
   {"", Cell[TextData[{
     Cell[BoxData[
      RowBox[{"CartesianPropagatorDenominator", "[", 
       RowBox[{
        RowBox[{
         RowBox[{
          RowBox[{"CartesianMomentum", "[", 
           RowBox[{"q1", ",", 
            RowBox[{"D", "-", "1"}]}], "]"}], "+"}], "..."}], ",", 
        RowBox[{"CartesianPair", "[", 
         RowBox[{
          RowBox[{"CartesianMomentum", "[", 
           RowBox[{"q1", ",", 
            RowBox[{"D", "-", "1"}]}], "]"}], ",", 
          RowBox[{
           RowBox[{
            RowBox[{"CartesianMomentum", "[", 
             RowBox[{"p1", ",", 
              RowBox[{"D", "-", "1"}]}], "]"}], "+"}], "..."}], ",", 
          RowBox[{"m", "^", "2"}], ",", 
          RowBox[{"{", 
           RowBox[{"n", ",", "s"}], "}"}]}], "]"}]}]}]], "InlineFormula"],
     " \[LineSeparator]encodes a generic Cartesian propagator denominator \
1/[(q1+...)^2 + q1.p1 + ... + m^2 + s*I eta]^n. \
CartesianPropagatorDenominator is an internal object. To enter such \
propagators in FeynCalc you should use CFAD."
    }]]}
  }]], "Usage",
 GridBoxOptions->{
 GridBoxBackground->{
  "Columns" -> {{None}}, "ColumnsIndexed" -> {}, "Rows" -> {{None}}, 
   "RowsIndexed" -> {}}},
 CellID->982511436],

Cell[CellGroupData[{

Cell[TextData[{
 Cell[BoxData[
  InterpretationBox[
   StyleBox[
    GraphicsBox[{},
     BaselinePosition->Baseline,
     ImageSize->{6, 0}],
    CacheGraphics->False],
   Spacer[6]]]],
 "Examples",
 "\[NonBreakingSpace]\[NonBreakingSpace]",
 Cell["(1)", "ExampleCount"]
}], "PrimaryExamplesSection",
 WholeCellGroupOpener->True,
 CellTags->"PrimaryExamplesSection",
 CellID->390936523],

Cell[CellGroupData[{

Cell[TextData[{
 "Basic Examples",
 "\[NonBreakingSpace]\[NonBreakingSpace]",
 Cell["(1)", "ExampleCount"]
}], "ExampleSection", "ExampleSection",
 WholeCellGroupOpener->True,
 CellID->89235765],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"FeynAmpDenominator", "[", 
  RowBox[{"CartesianPropagatorDenominator", "[", 
   RowBox[{
    RowBox[{"CartesianMomentum", "[", 
     RowBox[{"p", ",", 
      RowBox[{"D", "-", "1"}]}], "]"}], ",", "0", ",", 
    RowBox[{"m", "^", "2"}], ",", 
    RowBox[{"{", 
     RowBox[{"1", ",", 
      RowBox[{"-", "1"}]}], "}"}]}], "]"}], "]"}]], "Input",
 CellLabel->"In[1]:=",
 CellID->127407996],

Cell[BoxData[
 FormBox[
  FractionBox["1", 
   TemplateBox[{"\"(\"",SuperscriptBox[
      FormBox[
       FormBox[
        StyleBox["p", Bold, StripOnInput -> False], TraditionalForm], 
       TraditionalForm], 2],"\"+\"",SuperscriptBox["m", "2"],"\"-\"",
     RowBox[{"\[ImaginaryI]", " ", "\"\[Eta]\""}],"\")\""},
    "RowDefault"]], TraditionalForm]], "Output",
 ImageSize->{103, 40},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellLabel->"Out[1]=",
 CellID->2117846260]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"FeynAmpDenominator", "[", 
  RowBox[{"CartesianPropagatorDenominator", "[", 
   RowBox[{"0", ",", 
    RowBox[{"CartesianPair", "[", 
     RowBox[{
      RowBox[{"CartesianMomentum", "[", 
       RowBox[{"p", ",", 
        RowBox[{"D", "-", "1"}]}], "]"}], ",", 
      RowBox[{"CartesianMomentum", "[", 
       RowBox[{"q", ",", 
        RowBox[{"D", "-", "1"}]}], "]"}]}], "]"}], ",", 
    RowBox[{"m", "^", "2"}], ",", 
    RowBox[{"{", 
     RowBox[{"1", ",", 
      RowBox[{"-", "1"}]}], "}"}]}], "]"}], "]"}]], "Input",
 CellLabel->"In[2]:=",
 CellID->754989132],

Cell[BoxData[
 FormBox[
  FractionBox["1", 
   TemplateBox[{"\"(\"",RowBox[{
       FormBox[
        FormBox[
         StyleBox["p", Bold, StripOnInput -> False], TraditionalForm], 
        TraditionalForm], 
       FormBox["\"\[CenterDot]\"", TraditionalForm], 
       FormBox[
        FormBox[
         StyleBox["q", Bold, StripOnInput -> False], TraditionalForm], 
        TraditionalForm]}],"\"+\"",SuperscriptBox["m", "2"],"\"-\"",
     RowBox[{"\[ImaginaryI]", " ", "\"\[Eta]\""}],"\")\""},
    "RowDefault"]], TraditionalForm]], "Output",
 ImageSize->{119, 40},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellLabel->"Out[2]=",
 CellID->718503863]
}, Open  ]]
}, Open  ]],

Cell["", "SectionFooterSpacer"]
}, Open  ]],

Cell[CellGroupData[{

Cell[TextData[{
 Cell[BoxData[
  InterpretationBox[
   StyleBox[
    GraphicsBox[{},
     BaselinePosition->Baseline,
     ImageSize->{6, 0}],
    CacheGraphics->False],
   Spacer[6]]]],
 "See Also"
}], "SeeAlsoSection",
 WholeCellGroupOpener->True,
 CellID->1255426704],

Cell[TextData[{
 StyleBox[ButtonBox["CFAD",
  BaseStyle->"Link",
  ButtonData->"paclet:FeynCalc/ref/CFAD",
  ButtonNote->"CFAD"],
  FontFamily->"Verdana"],
 ", ",
 StyleBox[ButtonBox["FeynAmpDenominator",
  BaseStyle->"Link",
  ButtonData->"paclet:FeynCalc/ref/FeynAmpDenominator",
  ButtonNote->"FeynAmpDenominator"],
  FontFamily->"Verdana"],
 "."
}], "SeeAlso",
 CellID->119070656]
}, Open  ]],

Cell[" ", "FooterCell"]
},
Saveable->False,
ScreenStyleEnvironment->"Working",
WindowSize->{725, 750},
WindowMargins->{{-10, Automatic}, {Automatic, -8}},
WindowTitle->"CartesianPropagatorDenominator",
TaggingRules->{
 "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> 
  GridBox[{{
      RowBox[{
        ButtonBox[
        "FeynCalc", ButtonData -> "paclet:FeynCalc/guide/FeynCalc", 
         BaseStyle -> {"Link", "DockedLinkTrail"}]}]}}, ColumnAlignments -> 
    Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> 
  None, "RootCaptions" -> "", 
  "Metadata" -> {
   "built" -> "{2020, 6, 20, 19, 2, 41.411431}", 
    "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", 
    "keywords" -> {}, "specialkeywords" -> {}, 
    "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> 
    "Feyn Calc Symbol", "language" -> "en", "paclet" -> "FeynCalc", "status" -> 
    "None", "summary" -> 
    "CartesianPropagatorDenominator[CartesianMomentum[q1, D - 1] + ..., \
CartesianPair[CartesianMomentum[q1, D - 1], CartesianMomentum[p1, D - 1] + \
..., m^2, {n, s}] encodes a generic Cartesian propagator denominator \
1/[(q1+...)^2 + q1.p1 + ... + m^2 + s*I eta]^n. \
CartesianPropagatorDenominator is an internal object. To enter such \
propagators in FeynCalc you should use CFAD.", "synonyms" -> {}, 
    "tabletags" -> {}, "title" -> "CartesianPropagatorDenominator", 
    "titlemodifier" -> "", "windowtitle" -> "CartesianPropagatorDenominator", 
    "type" -> "Symbol", "uri" -> 
    "FeynCalc/ref/CartesianPropagatorDenominator"}, "SearchTextTranslated" -> 
  ""},
CellContext->"Global`",
FrontEndVersion->"10.4 for Linux x86 (64-bit) (April 11, 2016)",
StyleDefinitions->Notebook[{
   Cell[
    StyleData[
    StyleDefinitions -> FrontEnd`FileName[{"Wolfram"}, "Reference.nb"]]], 
   Cell[
    StyleData["Input"], CellContext -> "Global`"], 
   Cell[
    StyleData["Output"], CellContext -> "Global`"]}, 
  WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, 
  FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", 
  StyleDefinitions -> "Default.nb"]
]
(* End of Notebook Content *)

(* Internal cache information *)
(*CellTagsOutline
CellTagsIndex->{
 "PrimaryExamplesSection"->{
  Cell[5416, 151, 387, 15, 31, "PrimaryExamplesSection",
   CellTags->"PrimaryExamplesSection",
   CellID->390936523]}
 }
*)
(*CellTagsIndex
CellTagsIndex->{
 {"PrimaryExamplesSection", 11313, 344}
 }
*)
(*NotebookFileOutline
Notebook[{
Cell[602, 21, 3224, 78, 53, "AnchorBarGrid",
 CellID->1],
Cell[3829, 101, 307, 11, 45, "ObjectNameGrid"],
Cell[4139, 114, 1252, 33, 136, "Usage",
 CellID->982511436],
Cell[CellGroupData[{
Cell[5416, 151, 387, 15, 31, "PrimaryExamplesSection",
 CellTags->"PrimaryExamplesSection",
 CellID->390936523],
Cell[CellGroupData[{
Cell[5828, 170, 194, 6, 26, "ExampleSection",
 CellID->89235765],
Cell[CellGroupData[{
Cell[6047, 180, 412, 12, 45, "Input",
 CellID->127407996],
Cell[6462, 194, 496, 14, 61, "Output",
 CellID->2117846260]
}, Open  ]],
Cell[CellGroupData[{
Cell[6995, 213, 591, 17, 62, "Input",
 CellID->754989132],
Cell[7589, 232, 676, 19, 61, "Output",
 CellID->718503863]
}, Open  ]]
}, Open  ]],
Cell[8292, 255, 31, 0, 29, "SectionFooterSpacer"]
}, Open  ]],
Cell[CellGroupData[{
Cell[8360, 260, 270, 12, 31, "SeeAlsoSection",
 CellID->1255426704],
Cell[8633, 274, 384, 14, 56, "SeeAlso",
 CellID->119070656]
}, Open  ]],
Cell[9032, 291, 23, 0, 41, "FooterCell"]
}
]
*)

(* End of internal cache information *)

